Abstract and concrete categories
Abstract and concrete categories
A new approach for fuzzy topology (I)
Fuzzy Sets and Systems
Fuzzy T-transitive relations: eigenvectors and generators
Fuzzy Sets and Systems - Special issue on fuzzy relations, part 1
L-Fuzzifying topologies as L-topologies
Fuzzy Sets and Systems
A compendium of fuzzy weak orders: Representations and constructions
Fuzzy Sets and Systems
One-to-one correspondence between fuzzifying topologies and fuzzy preorders
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
On many-valued stratified L-fuzzy convergence spaces
Fuzzy Sets and Systems
L-fuzzy Scott Topology and Scott Convergence of Stratified L-filters on Fuzzy Dcpos
Electronic Notes in Theoretical Computer Science (ENTCS)
Alexandroff L-co-topological spaces
Fuzzy Sets and Systems
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
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The aim of this paper is to investigate the relationships between certain generalized topological structures and fuzzy order structures on a universe set X. In details, a fuzzy preordered relation induces an I-fuzzy Alexandrov topology; and an I-fuzzy topology induces a fuzzy preordered relation, which turns out to be a specialization order in I-fuzzy setting. In addition, the Representation Theorem of fuzzy preorders by I-fuzzy topologies is obtained. These results coincide with the conclusions obtained in literature in the version of two-valued logic.